Magnetism and Superconductivity in Ferromagnetic Heavy Fermion System UCoGe under In-plane Magnetic Fields

Abstract

We study the ferromagnetic superconductor UCoGe at ambient pressure under $ab$-plane magnetic fields $\vec{H}$ which are perpendicular to the ferromagnetic easy axis. It is shown that, by taking into account the Dyaloshinskii-Moriya interaction arising from the zigzag chain crystal structure of UCoGe, we can qualitatively explain the experimentally observed in-plane anisotropy for critical magnetic fields of the paramagnetic transition. Because of this strong dependence on the magnetic field direction, upper critical fields of superconductivity, which is mediated by ferromagnetic spin fluctuations, also become strongly anisotropic. The experimental observation of "S-shaped" $H_{c2}\parallel b$-axis is qualitatively explained as a result of enhancement of the spin fluctuations due to decreased Curie temperature by the $b$-axis magnetic field. We also show that the S-shaped $H_{c2}$ is accompanied by a rotation of the $d$-vector, which would be a key to understand the experiments not only at ambient pressure but also under pressure.

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• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$
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• Strongly correlated multi-impurity models: The crossover from a single-impurity problem to lattice models
• Spin-triplet superconductivity in the paramagnetic UCoGe under pressure studied by ${}^{59}$Co NMR
• Enhancement of superconductivity by pressure-induced critical ferromagnetic fluctuations in UCoGe
• Theory of the low- and high-field superconducting phases of UTe${}_2$
• Pairing interaction in superconducting UCoGe tunable by magnetic field
• Vortex liquid phase in the p-wave ferromagnetic superconductor UCoGe
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• Ground-state phase diagram of the $S=1$ one-dimensional Kondo lattice model with a uniaxial anisotropy under transverse fields
• Superconducting and ferromagnetic phase diagram of UCoGe probed by thermal expansion
• Pairing symmetry in monolayer of orthorhombic CoSb
• Superconducting Correlations in the One-Dimensional Kondo Lattice Models under Magnetic Fields
• Fulde-Ferrell state in ferromagnetic chiral superconductor with magnetic domain wall
• Field-angular Dependence of Pairing Interaction in URhGe: Comparison with UCoGe
• A unified theoretical framework for Kondo superconductors: Periodic Anderson impurities with attractive pairing and Rashba spin-orbit coupling